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Finding the Fourth Proportional to 21,119.13, 29,142.05 and 12,164.85

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Solution

The fourth proportional to 21,119.13, 29,142.05 and 12,164.85 is: 16,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,119.13 : 29,142.05 = 12,164.85 : x
  2. Step 2: Convert to fraction form
    21,119.13/29,142.05 = 12,164.85/x
  3. Step 3: Cross multiply
    21,119.13x = 29,142.05 × 12,164.85
  4. Step 4: Simplify right side
    21,119.13x = 354,508,606.12
  5. Step 5: Solve for x
    x = 354,508,606.12/21,119.13
  6. Step 6: Final answer
    x = 16,786.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.